Outliers results

Table

lvmodel samplesize nitem rep par_name err true_param mean X2.5. X97.5. Rhat
gpcm 500 100 57 lambda[46,1] 4.921348 1.725904 6.647252 3.612507 9.715062 1.001361
gpcm 500 100 41 lambda[12,1] 3.911789 2.745166 6.656956 2.993125 9.799180 1.000298
gpcm 500 100 15 lambda[15,1] 3.766674 2.151905 5.918579 2.899782 9.486690 1.004218
gpcm 1000 100 35 lambda[40,1] 3.480027 2.684788 6.164816 3.526278 9.382282 1.019008
gpcm 500 100 42 lambda[69,1] 3.472997 2.361081 5.834078 3.188929 9.322959 1.000706
gpcm 500 100 97 lambda[52,1] 3.366532 2.859308 6.225841 2.733812 9.695244 1.004224
gpcm 500 100 24 lambda[70,1] 3.342659 1.966015 5.308674 2.598532 9.310118 1.003031
gpcm 1000 50 1 lambda[50,1] 3.196216 2.562102 5.758318 2.964826 9.476823 1.001942
gpcm 500 100 71 lambda[48,1] 3.152478 2.602722 5.755200 2.759152 9.497803 1.003768
gpcm 500 100 11 lambda[93,1] 2.996082 2.341545 5.337628 2.912748 8.830072 1.021634

trace plot

gpcm_500_100_57

true_v mean bias sd Rhat
1.726 6.647 4.921 1.665 1.001
autocorr
Lag 0 1.000
Lag 1 0.259
Lag 5 0.156
Lag 10 0.108
Lag 50 0.075

gpcm_500_100_11

true_v mean bias sd Rhat
2.342 5.338 2.996 1.531 1.022
autocorr
Lag 0 1.000
Lag 1 0.202
Lag 5 0.170
Lag 10 0.149
Lag 50 0.076

gpcm_500_100_41

true_v mean bias sd Rhat
2.745 6.657 3.912 1.999 1
autocorr
Lag 0 1.000
Lag 1 0.316
Lag 5 0.071
Lag 10 0.010
Lag 50 0.020

gpcm_500_100_15

true_v mean bias sd Rhat
2.152 5.919 3.767 1.795 1.004
autocorr
Lag 0 1.000
Lag 1 0.085
Lag 5 0.119
Lag 10 0.086
Lag 50 0.046

gpcm_1000_100_35

true_v mean bias sd Rhat
2.685 6.165 3.48 1.554 1.019
autocorr
Lag 0 1.000
Lag 1 0.174
Lag 5 0.168
Lag 10 0.163
Lag 50 0.081

gpcm_500_100_42

true_v mean bias sd Rhat
2.361 5.834 3.473 1.58 1.001
autocorr
Lag 0 1.000
Lag 1 0.141
Lag 5 0.173
Lag 10 0.141
Lag 50 0.048

gpcm_500_100_97

true_v mean bias sd Rhat
2.859 6.226 3.367 1.949 1.004
autocorr
Lag 0 1.000
Lag 1 0.391
Lag 5 0.122
Lag 10 0.039
Lag 50 0.005

gpcm_500_100_24

true_v mean bias sd Rhat
1.966 5.309 3.343 1.731 1.003
autocorr
Lag 0 1.000
Lag 1 0.134
Lag 5 0.089
Lag 10 0.068
Lag 50 0.027

gpcm_1000_50_1

true_v mean bias sd Rhat
2.562 5.758 3.196 1.778 1.002
autocorr
Lag 0 1.000
Lag 1 0.175
Lag 5 0.063
Lag 10 0.041
Lag 50 0.026

gpcm_500_100_71

true_v mean bias sd Rhat
2.603 5.755 3.152 1.818 1.004
autocorr
Lag 0 1.000
Lag 1 0.082
Lag 5 0.069
Lag 10 0.067
Lag 50 0.017

Unbiased results

Table

lvmodel samplesize nitem rep par_name err true_param mean X2.5. X97.5. Rhat
gpcm 1000 100 88 lambda[57,1] 0.0938374 1.2776387 1.3714761 1.0039976 1.8176737 1.002881
grm 1000 50 71 lambda[46,1] -0.0033918 0.7678773 0.7644855 0.5311187 1.0656267 1.014564
gpcm 500 100 45 lambda[41,1] -0.0900515 0.9829870 0.8929355 0.5239229 1.4199747 1.064479
2pl 1000 50 36 lambda[15,1] 0.0430695 0.6119683 0.6550378 0.4144519 0.9643817 1.016144
gpcm 1000 200 12 lambda[152,1] -0.0354187 1.2831126 1.2476939 0.8843463 1.6984069 1.009009
gpcm 1000 200 77 lambda[28,1] -0.0956677 0.9733509 0.8776832 0.6394298 1.1922845 1.005279
2pl 2000 100 28 lambda[12,1] -0.0612277 1.2272304 1.1660026 0.9038279 1.4581469 1.011741
2pl 1000 200 69 lambda[49,1] 0.0621948 1.2602879 1.3224827 0.9111547 1.8717214 1.053729
gpcm 1000 200 13 lambda[180,1] 0.0610680 1.2259784 1.2870464 0.9217020 1.7545299 1.064194
gpcm 1000 100 39 lambda[34,1] -0.0070091 1.1978679 1.1908588 0.8623005 1.6099362 1.012965

trace plot

gpcm_1000_100_88

true_v mean bias sd Rhat
1.278 1.371 0.094 0.211 1.003
autocorr
Lag 0 1.000
Lag 1 0.291
Lag 5 0.367
Lag 10 0.338
Lag 50 0.168

gpcm_1000_100_39

true_v mean bias sd Rhat
1.198 1.191 -0.007 0.191 1.013
autocorr
Lag 0 1.000
Lag 1 0.307
Lag 5 0.390
Lag 10 0.395
Lag 50 0.192

grm_1000_50_71

true_v mean bias sd Rhat
0.768 0.764 -0.003 0.135 1.015
autocorr
Lag 0 1.000
Lag 1 0.364
Lag 5 0.415
Lag 10 0.392
Lag 50 0.214

gpcm_500_100_45

true_v mean bias sd Rhat
0.983 0.893 -0.09 0.231 1.064
autocorr
Lag 0 1.000
Lag 1 0.612
Lag 5 0.543
Lag 10 0.536
Lag 50 0.415

2pl_1000_50_36

true_v mean bias sd Rhat
0.612 0.655 0.043 0.142 1.016
autocorr
Lag 0 1.000
Lag 1 0.273
Lag 5 0.379
Lag 10 0.351
Lag 50 0.169

gpcm_1000_200_12

true_v mean bias sd Rhat
1.283 1.248 -0.035 0.207 1.009
autocorr
Lag 0 1.000
Lag 1 0.260
Lag 5 0.388
Lag 10 0.376
Lag 50 0.263

gpcm_1000_200_77

true_v mean bias sd Rhat
0.973 0.878 -0.096 0.14 1.005
autocorr
Lag 0 1.000
Lag 1 0.407
Lag 5 0.493
Lag 10 0.466
Lag 50 0.286

2pl_2000_100_28

true_v mean bias sd Rhat
1.227 1.166 -0.061 0.14 1.012
autocorr
Lag 0 1.000
Lag 1 0.402
Lag 5 0.422
Lag 10 0.400
Lag 50 0.246

2pl_1000_200_69

true_v mean bias sd Rhat
1.26 1.322 0.062 0.246 1.054
autocorr
Lag 0 1.000
Lag 1 0.403
Lag 5 0.503
Lag 10 0.490
Lag 50 0.317

gpcm_1000_200_13

true_v mean bias sd Rhat
1.226 1.287 0.061 0.211 1.064
autocorr
Lag 0 1.000
Lag 1 0.220
Lag 5 0.359
Lag 10 0.340
Lag 50 0.232

Figures